Answer:
2
Step-by-step explanation:
Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
<em><u>Question:</u></em>
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?
<em><u>Answer:</u></em>
The actual length of Hector room is 14 foot
<em><u>Solution:</u></em>
Given that, On the floor plan, his bedroom is 3 inches wide and
inches long
<em><u>The scale of floor plan is given as:</u></em>

Therefore,

To find: Actual length of floor
From given question,

Converting the mixed fraction to improper fraction,

Since, 1 inch = 4 foot

Thus actual length of Hector room is 14 foot
Answer:
x = 1/3
Step-by-step explanation:
1 = 1/x -2
add 2 to both sides
3 = 1/x
x = 1/3
3/4= j-1/2
first to add 1/2 to both sides to solve for j
3/4 + 1/2= j
second you find a common denominator in order to add 3/4 and 1/2, the common denominator would be 4, you would have to change 3/4 at all because the denominator is already 4 but in order to make the denominator of 1/2, 4 you would have to multiply both the denominator and numerator by 2 so
3/4 + 2/4 = 5/4
so 5/4 =j
to check your answer you plug 5/4 in for j
3/4 = 5/4 -1/2
again you need to find a common denominator between 5/4 and 1/2 which again would be 4, and again you wouldn't change 5/4 but you would multiply both the numerator and the denominator of 1/2 so
3/4= 5/4-2/4
5-2= 3 and you would keep the 4 so
5/4 - 2/4 = 3/4
so j = 5/4